# Assn6 - (a Assume that the metal contains N free electrons per unit volume and that at X-ray frequency the mean free path of the free electron is

This preview shows page 1. Sign up to view the full content.

PHY 4211 Electromagnetic theory and Optics 2010 Assignment 6 Due: Friday March 5, 2010 Do all problems, but hand in ONLY questions marked with * (e.g. Q2*) (G=Griffiths) Use my notation ( E , B ) instead of ( B E ~ , ~ ) for complex amplitudes. Q1*: G Problem 9.18 , p.395. Q2: G Problem 9.20 (a) , p.396. Q3*: G Problem 9.23 , p.405. Q4: X-rays, like all the other electromagnetic waves, can be totally internal reflected. It is found that X-rays which strike a metal surface in air are totally internal reflected if the angle of incidence is greater than a critical angle θ c .
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (a) Assume that the metal contains N free electrons per unit volume, and that at X-ray frequency the mean free path of the free electron is very long so that damping can be neglected. Solve the equation of motion for the electron and find the conductivity of the metal as a function of frequency. (The mass and charge of electron are m e and -e ). (b) Assume that the permittivity of the metal is equal to that for vacuum, find the refractive index of X-ray in the metal and hence calculate c as a function of the frequency ω of the X-rays....
View Full Document

## This note was uploaded on 12/10/2011 for the course PHYS 4211 taught by Professor Wkliu during the Spring '11 term at CUHK.

Ask a homework question - tutors are online